Exactly 71 people are standing in a single queue : Data Sufficiency (DS)

My Profile Logout

Test's Subscription Expires:

My Follow Feed Kudos My Error Log

Messages and Replies

Settings Mark All Read

See All

Applicant Notifications

Settings Mark All Read

See All

Global notifications

Settings Mark All Read

See All

Exactly 71 people are standing in a single queue

Sort by Date

Sort by Kudos

Author

Message

TAGS:

Hide Tags

DS Forum Moderator

Joined: 21 Aug 2013

Posts: 1412

Location: India

Exactly 71 people are standing in a single queue [#permalink]

Show Tags

23 Feb 2018, 10:16

00:00

Difficulty:

55% (hard)

Question Stats:

64% (02:03) correct

36% (02:01) wrong

based on 51 sessions

HideShow timer Statistics

Spoiler: OA

PS Forum Moderator

Joined: 25 Feb 2013

Posts: 1217

Location: India

GPA: 3.82

Exactly 71 people are standing in a single queue [#permalink]

Show Tags

23 Feb 2018, 10:27

amanvermagmat wrote:

Statement 1: Provides Daniel's position but we do not know whether Maria is in front or behind Daniel. In wither case number of people standing in front of Maria will be different. Hence Insufficient

Statement 2: if number of people behind Maria is \(x-18\), then number of people in front of Maria will be \(x\)

so we have \(x+x-18=70 => x=44\). Sufficient

Option B

Senior PS Moderator

Joined: 26 Feb 2016

Posts: 3325

Location: India

GPA: 3.12

Exactly 71 people are standing in a single queue [#permalink]

Show Tags

23 Feb 2018, 10:38

Exactly 71 people are standing in a single queue outside a store on black Friday. If these 71 people also include Daniel
and Maria, then how many people are standing in front of Maria in the queue?

(1) When counted from the back of the queue, Daniel is at 19th position and there are exactly 7 people between Daniel and Maria.
This statement is not enough as Maria could be 7 places before/after Daniel.
We cannot arrive at a unique answer for the total number of people ahead of Maria (Insufficient)

(2) The number of people in front of Maria in the queue are 18 more than the number of people behind Maria in the queue.
It x is the position she is at from behind the queue, then 18+x+1+x = 71.
2x + 19 = 71 -> x = 26
So basically, she must be at the 45(18+26)th position in the queue (Sufficient - Option B)
_________________

You've got what it takes, but it will take everything you've got

Manager

Joined: 26 Sep 2016

Posts: 62

Exactly 71 people are standing in a single queue [#permalink]

Show Tags

23 Feb 2018, 14:43

St 1 is not sufficient as we don't know whether Mary is in front of or behind Daniel in the queue.
St 2 is sufficient as we can set an equation using : x+18 people in front of Mary, x people behind Mary
In total there will be x+18+Mary+x = 71
2x=71-19 ,
x=26 , so there are 26+18 people are in front of Mary

Manager

Joined: 23 Sep 2016

Posts: 217

Re: Exactly 71 people are standing in a single queue [#permalink]

Show Tags

27 Feb 2018, 00:16

amanvermagmat wrote:

IMO B
statement 1 we don't know whether maria is in front or back of daniel.
statement 2 tell us exact place of maria by telling us number of people in front and back of her.

Intern

Joined: 15 Jan 2018

Posts: 11

Location: Canada

Concentration: Strategy, General Management

GMAT 1: 630 Q48 V28

GPA: 3.5

Re: Exactly 71 people are standing in a single queue [#permalink]

Show Tags

27 Feb 2018, 01:59

B.
1 states the position of Daniel, and the people between him and Maria but she may be in front of him or behind. Hence, not sufficient. BCE

2. This statement can lead to the exact location of Maria by establishing an equation between behind and front people. Hence, sufficient.

Sent from my [device_name] using [url]GMAT Club Forum mobile app[/url]